dc.contributorUniversidade Federal do Rio de Janeiro (UFRJ)
dc.contributorUniversidade Federal de São Paulo (UNIFESP)
dc.contributorUniv Louisville
dc.contributorAshoka Univ
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorInst Nacl Matemat Pura & Aplicada
dc.date.accessioned2018-11-26T17:48:22Z
dc.date.available2018-11-26T17:48:22Z
dc.date.created2018-11-26T17:48:22Z
dc.date.issued2018-05-01
dc.identifierJournal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 461, n. 1, p. 796-816, 2018.
dc.identifier0022-247X
dc.identifierhttp://hdl.handle.net/11449/163907
dc.identifier10.1016/j.jmaa.2017.11.059
dc.identifierWOS:000426141100044
dc.identifierWOS000426141100044.pdf
dc.description.abstractIn the early 1970's Eisenberg and Hedlund investigated relationships between expansivity and spectrum of operators on Banach spaces. In this paper we establish relationships between notions of expansivity and hypercyclicity, supercyclicity, Li-Yorke chaos and shadowing. In the case that the Banach space is c(0) or l(p) (1 <= p < infinity), we give complete characterizations of weighted shifts which satisfy various notions of expansivity. We also establish new relationships between notions of expansivity and spectrum. Moreover, we study various notions of shadowing for operators on Banach spaces. In particular, we solve a basic problem in linear dynamics by proving the existence of nonhyperbolic invertible operators with the shadowing property. This contrasts with the expected results for nonlinear dynamics on compact manifolds, illuminating the richness of dynamics of infinite dimensional linear operators. (C) 2017 Elsevier Inc. All rights reserved.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationJournal Of Mathematical Analysis And Applications
dc.rightsAcesso aberto
dc.sourceWeb of Science
dc.subjectExpansive
dc.subjectHypercyclic
dc.subjectLi-Yorke
dc.subjectHyperbolic
dc.subjectShadowing
dc.subjectWeighted shifts
dc.titleExpansivity and shadowing in linear dynamics
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución